Question

$\text{Solve for m:}$

$\frac{8m}{6}+5=7m$

• A. $m=\frac{15}{17}$
• B. $m=\frac{17}{15}$
• C. $m=\frac{12}{17}$
• D. $m=\frac{15}{14}$

Answer 1

The correct option is A

$m=\frac{15}{17}$

Given,
$\frac{8m}{6}+5=7m$

Transposing 5 from LHS to RHS, we get
$\frac{8m}{6}=7m-5$.

Now, again transposing 6 from LHS to RHS, we get,

$8m=(7m-5)\times 6$
$\Rightarrow 8m=42m-30$

Transposing $42m$ from RHS to LHS, we get,
$8m-42m=-30$
$\Rightarrow -34m=-30$

Dividing both sides by $-34$, we get,

$\Rightarrow m=\frac{-30}{-34}$

$\Rightarrow m=\frac{15}{17}$